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Finding the Fourth Proportional to 1,454.91, 2,165.91 and 1,446.26

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Solution

The fourth proportional to 1,454.91, 2,165.91 and 1,446.26 is: 2,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.91 : 2,165.91 = 1,446.26 : x
  2. Step 2: Convert to fraction form
    1,454.91/2,165.91 = 1,446.26/x
  3. Step 3: Cross multiply
    1,454.91x = 2,165.91 × 1,446.26
  4. Step 4: Simplify right side
    1,454.91x = 3,132,450.94
  5. Step 5: Solve for x
    x = 3,132,450.94/1,454.91
  6. Step 6: Final answer
    x = 2,153.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.